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http://hdl.handle.net/10077/4175| Title: | Explicit Parallelizations on Products of Spheres and Calabi-Eckmann Structures | Authors: | Parton, Maurizio | Keywords: | Parallelization; product of spheres; Calabi-Eckmann | Issue Date: | 2003 | Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica | Source: | Maurizio Parton, "Explicit parallelizations on products of spheres and Calabi-Eckmann structures", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 61-67. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 35 (2003) |
Abstract: | A classical theorem of Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. We give explicit parallelizations. We show that the Calabi-Eckmann Hermitian structures on products of two odd-dimensional spheres are invariant with respect to these parallelizations. |
Type: | Article | URI: | http://hdl.handle.net/10077/4175 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| PartonRendMat35.pdf | 90.48 kB | Adobe PDF |  View/Open |
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